43200 ÷ 7 = 6171 R3
Alright, let's work through the division of 43200 by 7 step by step.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Step 2:
7 goes into 43 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 43 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 3:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 61
Subtract 7 from 12 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 4:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 617
Subtract 49 from 50 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 5:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 6171
Subtract 7 from 10 to get 3.

The final result is 6171 with a remainder of 3.